1.

If the filter is in linear phase, then filter would have a mirror-image pole outside the unit circle for every pole inside the unit circle.(a) True(b) FalseI had been asked this question in an interview.My enquiry is from Design of IIR Filters from Analog Filters topic in section Digital Filters Design of Digital Signal Processing

Answer»

The correct option is (a) True

For explanation: For a LINEAR phase filter, we know that

H(z)=\(±z^{-N} H(z^{-1})\)

where z^(-N) represents a delay of N units of TIME. But if this were the CASE, the filter would have a mirror IMAGE pole outside the unit circle for every pole inside the unit circle. Hence the filter would be unstable.



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